Answer: 1) 1/3,654 2) 3/406 3) 72,684,900,288,000 4) 120
<u>Step-by-step explanation:</u>
1) First and Second and Third

2) First and Second



Answer:
15 times
Step-by-step explanation:
If he bats 50 times, he will be expected to reach first base "30% of the time".
We simply need to find "what is 30% of 50?"
We first need to convert the percentage (30%) to decimal and then multiply that with 50 to get our answer.
Converting percentage to decimal is very simple! We divide by 100. That's it!
So, we have:
30% = 30/100 = 0.3
Now we do the multiplication:
0.3 * 50 = 15
So, the player would reach first base 15 times (out of 50 times of batting)
Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
Answer:
81.5, 9, 180
Step-by-step explanation:
28.
c=9
9x9=81
a=1/2
81+1/2=81.5
29.
9x1/2=4.5
4.5x2=9
30.
15x15=225
9x5=45
225-45=180
hope this helps!!!